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Filter games and combinatorial properties of winning strategies

Claude Laflamme
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Abstract

We characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorics or structural properties of the given filter. These generalize several ultrafilter games of Galvin.

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Claude Laflamme. 1995-01-26. Filter games and combinatorial properties of winning strategies. https://arxiv.org/abs/math/9501209

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